Linear Algebra

Table of Contents

• Exam One Material

  • Where might systems come from?
  • Solving a system of equations-Section 3.1-3.2 in College Alg
  • Solving a system of equations: 3 by 3
  • Solving a system of equations where there may not be one sln
  • Solving a homogeneous system of equations
  • Find Linear Combinations
  • Finding Coefficients for a Linear Combination

• Exam Two Material

  • Visualize Span
  • Is a vector in the Span?
  • Testing for Independent Column Vectors
  • Independent Set from Dependent Set
  • Matrix Operations of +, -, and *
  • Operations on ONE matrix
  • Operations on ONE matrix, that is not square.
  • Row Space
  • Spaces Associated with a Matrix

• Exam Three Material

  • Eigenvalue/Eigenvector
  • Eigenvalue/Eigenvector-A second Attempt

• Tools for Use in ALL Exams

  • Row Reducing a Matrix